DOUBLE UH-OH: Seductive secret agent Anna Chapman (above) reportedly befriended pals of Prince William (top left) and Prince Harry (left) and frequented one of their favorite London hot spots -- all while gathering intelligence in her work as a Russian spy (below).Exclusivepix

What a royal mess!

British intelligence officials are investigating reports that accused Russian red-headed spy Anna Chapman worked her sexy secret-agent wiles on Princes William and Harry, the grandsons of Queen Elizabeth II.

A bombshell report revealed that Chapman, 28, was actively trying to infiltrate the royal scions’ social circle with the intent of meeting them.

Chapman — now locked up in New York on charges of being a Russian agent — frequently visited the naughty nightclub Boujis in London expressly to bump into the princes and chat them up, London’s Mirror newspaper reported.

Both William and Harry, the sons of the late Princess Diana and Prince Charles, were regulars at the private members club, which is notorious for its libertine atmosphere.

The princes were also close to former Boujis manager Jake Parkinson-Smith — whom Chapman managed to meet several times before he was fired in a drug scandal.

A friend of Chapman’s told the Mirror, “I remember her talking about Prince William and Prince Harry, but she was very careful not to be seen as the sort of girl who hangs around waiting for them — even though that’s exactly what she was doing.”

“She was pushy but clever enough to be discreet with it,” the pal said. “As a regular at these places, Anna would have found it easy to get near the princes and was certainly pretty friendly with people in their world.”

Chapman “couldn’t wait to throw herself on the party scene” after the marriage to her British husband, Alex Chapman, ended in 2005, the friend said. “She was always talking about the princes.”

Alex Chapman told the News of the World that before she left him, they enjoyed marathon sex sessions, S&M play and even a randy Mile High Club romp in an airplane bathroom.

After the divorce, the Russian diplomat’s daughter made it a point to frequent other joints popular with the royals besides Boujis, including the Movida and Tramp clubs, and the restaurant Nobu, the Mirror reported.

Now MI5 — the British intelligence agency that investigates domestic issues — has opened an inquiry into Chapman’s hunting of Wills and Harry, with an eye toward learning if she ever met them, and what happened if she did, the newspaper disclosed.

“Any possibility that a Russian spy may have been in the company of Princes Harry and William is extremely worrying,” a security source told the Mirror. “Keeping the princes fully protected in that kind of alcohol-fueled, closed-in environment has always been a major headache.”

In fact, Prince Charles was so concerned about violence outside the club that he reportedly banned his sons from Boujis for several months.

Chapman wasn’t satisfied with just the royals as her targets.

She also became friendly with a member of Britain’s House of Lords — the upper chamber of Parliament — according to the Daily Mail.

Chapman got close to the unidentified aristocrat — who is also a top lawyer — as part of her continued efforts to finagle her way into the British upper crust, the paper reported.

Lord Anthony Lester told the Mail, “I would love to know who it is. Whoever it is, is a fortunate person, because she’s a very attractive woman, and she reminds me of Christine Keeler.”

Keeler was a London party girl who helped ignite Britain’s biggest-ever sex scandal when it was revealed in 1963 that she had been bedded by John Profumo — the British minister of war and prime-minister aspirant. Keeler had also slept with the Soviet Embassy’s top naval attaché.

Those disclosures led to Profumo’s resigning in disgrace after he at first lied about the affair to Parliament.